111 citations · 256 across the 16 of their papers we have counts for
17 papers
Quantum optomechanical system in a Mach-Zehnder interferometer
Alberto Barchielli, Matteo Gregoratti
We consider an oscillating micromirror replacing one of the two fixed mirrors of a Mach-Zehnder interferometer. In this ideal optical set-up the quantum oscillator is subjected to…
Least singular value and condition number of a square random matrix with i.i.d. rows
Matteo Gregoratti, Davide Maran
We consider a square random matrix made by i.i.d. rows with any distribution and prove that, for any given dimension, the probability for the least singular value to be in [0; )…
Entropic measurement uncertainty relations for all the infinite components of a spin vector
Alberto Barchielli, Matteo Gregoratti
The information-theoretic formulation of quantum measurement uncertainty relations (MURs), based on the notion of relative entropy between measurement probabilities, is extended to…
Uncertainty relations and information loss for spin-1/2 measurements
Alberto Barchielli, Matteo Gregoratti
We formulate entropic measurements uncertainty relations (MURs) for a spin-1/2 system. When incompatible observables are approximatively jointly measured, we use relative entropy t…
Measurement uncertainty relations for position and momentum: Relative entropy formulation
Alberto Barchielli, Matteo Gregoratti, Alessandro Toigo
Heisenberg's uncertainty principle has recently led to general measurement uncertainty relations for quantum systems: incompatible observables can be measured jointly or in sequenc…
Measurement uncertainty relations for discrete observables: Relative entropy formulation
Alberto Barchielli, Matteo Gregoratti, Alessandro Toigo
We introduce a new information-theoretic formulation of quantum measurement uncertainty relations, based on the notion of relative entropy between measurement probabilities. In the…